The Role of Permutation Groups in Randomization Tests

Eugene S. Edgington

Journal of Educational and Behavioral Statistics, 1983, vol. 8, issue 2, 121-135

Abstract: Randomization tests are usually represented as strategies for determining significance through the comparison of the value of an obtained test statistic with a distribution of such values associated with every possible random assignment of subjects to treatments. Randomization tests can, however, also be conducted on the basis of a subset of all possible assignments and justified through the concept of a permutation group as defined by Chung and Fraser (1958). This idea is useful in acquiring a deeper understanding of randomization tests and in facilitating the development of new classes of tests.

Keywords: Distribution-free tests; Permutation groups; Randomization; Randomization tests (search for similar items in EconPapers)
Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:8:y:1983:i:2:p:121-135

DOI: 10.3102/10769986008002121

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